1461245900400 has 2160 divisors, whose sum is σ = 6521910883488. Its totient is φ = 299748556800.

The previous prime is 1461245900347. The next prime is 1461245900437. The reversal of 1461245900400 is 40095421641.

1461245900400 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 24 + 590 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4139506624 + ... + 4139506976.

Almost surely, 2^{1461245900400} is an apocalyptic number.

1461245900400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461245900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260955441744).

1461245900400 is an abundant number, since it is smaller than the sum of its proper divisors (5060664983088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1461245900400 is a wasteful number, since it uses less digits than its factorization.

1461245900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1461245900400 in words is "one trillion, four hundred sixty-one billion, two hundred forty-five million, nine hundred thousand, four hundred".